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12215970 = 23251353197
BaseRepresentation
bin101110100110…
…011010100010
3211222122011100
4232212122202
511111402340
61113455230
7205556034
oct56463242
924878140
1012215970
116994048
124111516
1326b93b0
14189dc54
151114830
hexba66a2

12215970 has 96 divisors (see below), whose sum is σ = 35026992. Its totient is φ = 2935296.

The previous prime is 12215947. The next prime is 12215971. The reversal of 12215970 is 7951221.

12215970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8139609 + 4076361 = 2853^2 + 2019^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12215971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61912 + ... + 62108.

Almost surely, 212215970 is an apocalyptic number.

12215970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12215970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513496).

12215970 is an abundant number, since it is smaller than the sum of its proper divisors (22811022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12215970 is a wasteful number, since it uses less digits than its factorization.

12215970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12215970 is about 3495.1351905184. The cubic root of 12215970 is about 230.3081565722.

The spelling of 12215970 in words is "twelve million, two hundred fifteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 197 234 265 318 390 394 477 530 585 591 689 795 954 985 1170 1182 1378 1590 1773 1970 2067 2385 2561 2955 3445 3546 4134 4770 5122 5910 6201 6890 7683 8865 10335 10441 12402 12805 15366 17730 20670 20882 23049 25610 31005 31323 38415 46098 52205 62010 62646 76830 93969 104410 115245 135733 156615 187938 230490 271466 313230 407199 469845 678665 814398 939690 1221597 1357330 2035995 2443194 4071990 6107985 12215970